Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $\epsilon$-Expansions

K. Pinn; A. Pordt; C. Wieczerkowski

doi:10.1007/BF02183147

Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $\epsilon$-Expansions

High Energy Physics - Lattice 2009-10-22 v1

Authors: K. Pinn , A. Pordt , C. Wieczerkowski

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Abstract

Nontrivial fixed points of the hierarchical renormalization group are computed by numerically solving a system of quadratic equations for the coupling constants. This approach avoids a fine tuning of relevant parameters. We study the eigenvalues of the renormalization group transformation, linearized around the non-trivial fixed points. The numerical results are compared with $\epsilon$ -expansion.

Keywords

hierarchical renormalization group fixed points epsilon expansion coupling constants eigenvalues quadratic equations

Cite

@article{arxiv.hep-lat/9402020,
  title  = {Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $\epsilon$-Expansions},
  author = {K. Pinn and A. Pordt and C. Wieczerkowski},
  journal= {arXiv preprint arXiv:hep-lat/9402020},
  year   = {2009}
}

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LaTex file, 24 pages, 5 figures appended as 1 PostScript file, preprint MS-TPI-94-2

Algebraic Computation of the Hierarchical Renormalization Group Fixed Points and their $\epsilon$-Expansions

Abstract

Keywords

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